Incorrect integral
- To: mathgroup at smc.vnet.net
- Subject: [mg43623] Incorrect integral
- From: "Lars Rasmusson" <Lars.Rasmusson at hp.com>
- Date: Fri, 26 Sep 2003 04:45:36 -0400 (EDT)
- Organization: Hewlett-Packard Laboratories, Bristol, UK
- Sender: owner-wri-mathgroup at wolfram.com
Hi, it seems like Integrate is not handling the Max[ ] function properly, or
am I mistaken?
Compare the two outputs
In[1]:=
fa[p_] := NIntegrate[Max[0, k - a p], {k, 0, 1}, {a, 0, 1}]
fb[p_] := Integrate[Max[0, k - a p], {k, 0, 1}, {a, 0, 1}]
fa[0.1]
fb[0.1]
Out[3]=
0.451667
Out[4]=
1.66667
The outputs differ. NIntegrate returns the correct value.
In[5]:= $Version
Out[5]= 5.0 for Microsoft Windows (June 11, 2003)
Is there any way to get a correct behavior from Mathematica? I would be
happy to receive the symbolic solution (to a more complicated integral of
this kind).
Thanks,
Lars
- Follow-Ups:
- Re: Incorrect integral
- From: Daniel Lichtblau <danl@wolfram.com>
- Re: Incorrect integral